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Existence and Uniqueness Theorems for the Pfaff Equation with Continuous Coefficients

  • A. A. Abduganiev,
  • A. A. Azamov,
  • A. O. Begaliev

摘要

In this paper, the Pfaff equations with continuous coefficients are considered. Analogs of Peano’s existence theorem and Kamke’s theorem on the uniqueness of the solution to the Cauchy problem are established, and a method for approximate solution of the Cauchy problem for the Pfaff equation is proposed.